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Finding the Fourth Proportional to 134.07, 184.82 and 103.11

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Solution

The fourth proportional to 134.07, 184.82 and 103.11 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.07 : 184.82 = 103.11 : x
  2. Step 2: Convert to fraction form
    134.07/184.82 = 103.11/x
  3. Step 3: Cross multiply
    134.07x = 184.82 × 103.11
  4. Step 4: Simplify right side
    134.07x = 19,056.27
  5. Step 5: Solve for x
    x = 19,056.27/134.07
  6. Step 6: Final answer
    x = 142.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.